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Finding the Fourth Proportional to 52,077.54, 71,866.98 and 28,204.20

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Solution

The fourth proportional to 52,077.54, 71,866.98 and 28,204.20 is: 38,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,077.54 : 71,866.98 = 28,204.20 : x
  2. Step 2: Convert to fraction form
    52,077.54/71,866.98 = 28,204.20/x
  3. Step 3: Cross multiply
    52,077.54x = 71,866.98 × 28,204.20
  4. Step 4: Simplify right side
    52,077.54x = 2,026,950,677.32
  5. Step 5: Solve for x
    x = 2,026,950,677.32/52,077.54
  6. Step 6: Final answer
    x = 38,921.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.